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Finding the Fourth Proportional to 209,855.78, 289,592.55 and 114,360.44

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Solution

The fourth proportional to 209,855.78, 289,592.55 and 114,360.44 is: 157,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,855.78 : 289,592.55 = 114,360.44 : x
  2. Step 2: Convert to fraction form
    209,855.78/289,592.55 = 114,360.44/x
  3. Step 3: Cross multiply
    209,855.78x = 289,592.55 × 114,360.44
  4. Step 4: Simplify right side
    209,855.78x = 33,117,931,438.72
  5. Step 5: Solve for x
    x = 33,117,931,438.72/209,855.78
  6. Step 6: Final answer
    x = 157,812.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.